Answer:
The coordinate pair of the point D that will make AB perpendicular to CD is the D(6, 3)
Step-by-step explanation:
The slope of the given line AB can be presented as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m =\dfrac{-5-4}{2-(-1)} = \dfrac{-9}{3} =-3[/tex]
The slope of a perpendicular line to a given line is equal to the negative reciprocal of the slope of the given line
Therefore, the slope of the perpendicular to a line that has a slope of m is -1/m
The slope of the perpendicular to the line AB is therefore [tex]-\dfrac{1}{3}[/tex]
From which we get the equation of the perpendicular to the line AB given as follows;
y - 4 = -1/3 × (x - 3)
y - 4 = -x/3 + 1
y = -x/3 + 1 + 4
y = -x/3 + 5
When x = 6, y = -6/3 + 5 = 3
Therefore, the coordinate pair of the point D that will make AB perpendicular to CD is the D(6, 3).
Using the slope concept, it is found that the coordinate pair is:
[tex]D\left(x, \frac{x}{3}+9\right)[/tex]
The slope of a coordinate pair [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the change in y divided by the change in x, that is:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
If two segments are perpendicular, the multiplication of their slopes is -1.
For segment AB, the slope is:
[tex]m = \frac{-5 - 4}{2 - (-1)} = -\frac{9}{3} = -3[/tex]
At segment CD, we want that:
[tex]-3m = -1[/tex]
[tex]m = \frac{1}{3}[/tex]
Considering D(x,y), we have that:
[tex]\frac{y - 4}{x - 3} = \frac{1}{3}[/tex]
Writing y as a function of x:
[tex]x - 3 = 3(y - 4)[/tex]
[tex]3y - 12 = x - 3[/tex]
[tex]3y = x + 9[/tex]
[tex]y = \frac{x}{3} + 9[/tex]
Thus, the coordinate pair is:
[tex]D\left(x, \frac{x}{3}+9\right)[/tex]
A similar problem is given at https://brainly.com/question/24144915
hot dogs are sold in packages of 8, and hot dog buns are sold in packages of 12. what is the smallest number of each
that could be purchased so that the customer has the same number of hot dogs and buns?
Answer:
2 packs of buns and 3 packs of hot dogs
Step-by-step explanation:
multiples:
8: 8, 16, 24
packs: 1, 2, 3
12: 12, 24, 36
packs: 1, 2, 3
Which shows sets to which the number
on the number line belongs
China is starting private basketball lessons. She has to pay a $25 registration fee and an additional $10 per session. If she has
saved $205, how many training sessions can she attend?
If the Weight of Candy Is proportional to the price and 12 ounces of candy is $3.00,dollars how much is 20 ounces of candy?
Answer:
$5.00
Step-by-step explanation:
if you divide $3.00 by 12 you get $0.25 which is what your paying per ounce so all you would have to do once you get how much your paying per ounce is multiply your per ounce number ($0.25) by your total amount of ounces (20) and you then get your answer $5.00. Hope this makes sense!
In the 2011 New York City Marathon, 29,867 men finished the race, and 16,928 women finished the race. Each finisher was given a t-shirt. About how many men's shirts were given away? About how many women's shirts were given away? Explain how you found your answers.
Answer:
About 30000 men
About 17000 women
Step-by-step explanation:
This question has to deal with approximation.
We have:
[tex]Men = 29867[/tex]
[tex]Women =16928[/tex]
To get the required answer, we have to approximate the given parameters.
For men, we have:
[tex]Men = 29867[/tex]
[tex]Men =30000[/tex] -- Approximated
For women, we have:
[tex]Women =16928[/tex]
[tex]Women = 17000[/tex] -- Approximated
This implies that about 30000 men and 17000 men received the t shirts
im confused someone help :(
Answer:
Step-by-step explanation
I WILL GOVE YOU BRAINLIEST IF CORRECT YOU HAVE TO EXPLAIN WHY IT IS THO
Answer:
G
Step-by-step explanation:
If you do a common denominator of 30 for all of them
F would be 10/30
g would be 8/30
h would be 24/30
and j is obviously 14/30
What is 8785000000 in Scientific notation
Answer:
8.785 × [tex]10^{9}[/tex]
I hope this helps!
Answer the following above:
Answer:
-3.1
Step-by-step explanation:
Just divide -15.5 by 5.
SOLVE 3 AND 4 I WILL GIVE BRAINLIST!!
Answer:
3. C≈31.42
4.C≈94.25
Step-by-step explanation:
10 ÷ 2 =5
C=2πr
c=2 (3.14) 5
c= 2(3.14)15
Which is the endpoint of a ray?
Opoint R
O points
Opoint T
O point U
Answer:
B-
point s
Step-by-step explanation:
I just did the quiz, this is the correct answer
Point S is the endpoint of the rays.
Option B is the correct answer.
What is a ray?In geometry, a ray is a straight line that starts from a specific point (called the endpoint) and extends infinitely in one direction.
A ray can be thought of as a part of a line that has one endpoint and continues indefinitely in one direction.
We have,
A ray is a line that starts from a specific point and extends infinitely in one direction.
The starting point of the ray is called the endpoint, and the other end of the ray extends indefinitely.
Therefore, a ray does not have an endpoint in the direction it extends, but only at its starting point.
From the figure,
The ray SR, SU, and ST have one common starting point.
i.e Point S.
Thus,
Point S is the endpoint of the rays.
Learn more about rays here:
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(NEED HELP WILL MARK BRAINLIEST)
1. Which of the following is TRUE?
A. The Protestant Reformation began in Wittenberg, Germany.
B. Spain lost its empire trying to oppose the Protestant Reformation.
C. The Protestant Reformation led to widespread economic, intellectual, political, and
religious turmoil.
D. All of the above
Answer:
All of the above
Step-by-step explanation:
Also, this is a history, not a maths problem
what is the equation of the line in standard form through each point? (3,1) & perpendicular to -4c + y - 1= 0
i need answers to b and c ASAP this i due tomorrow please label which is b and c
please someone help me
Answer:
c = 116
Step-by-step explanation:
c and 64 are same- side interior angles and supplementary, thus
c + 64 = 180 ( subtract 64 from both sides )
c = 116
9−7x=16 its a two step equation
Answer: -1
Step-by-step explanation:
1. Subtract 9 on both sides.
That would make -7x=7
2. Then divide both sides by 7.
You get -1 (7/-7 equals -1).
I really hope this helped:) can you pls make me branliestttt
3.4z + 6.3 = -1.7z + 41.7
What’s z?
Answer:
z = 6.94
Step-by-step explanation:
3.4z + 6.3 = -1.7z + 41.7
5.1z = 35.4
z = 6.94
Simplify the expression.
2x3y + 7x3y – xy3
Answer:
9x3y - xy3
Step-by-step Explanation
What is 3y-5=6-4x in standard form
What is the range of the set of ordered pairs below? {(2, 3),(0, 6),(- 2, 9),(4, 0)}
Answer:
{3,6,9,0}
Step-by-step explanation:
The range is the set of all second elements of ordered pairs (y-coordinates).
8x-3y=3
2x+y=-15
solve by eliminaion.
Since there are 36 inches in one yard, how many inches are in 3 7/8 yards?
Answer:
I got 31.5
Step-by-step explanation:
7/8×36=31.5
I'm building my first gaming pc, got any tips.
Answer:
A good graphics card.
Step-by-step explanation:
Answer: Most games are cpu based so get a good cpu. Also, too much rgb is not good, you need to spend more on your power supply than your rgb.
Step-by-step explanation:
Osvoldo has a goal of getting at least 30% of his grams of carbohydrates each day from whole grains. Today, he ate 220 grams of carbohydrates, and 5 grams were from whole grains. Did Osvoldo meet his goal? Why?..
Answer:
Answer: Osvoldo did not meet his goal.
Step-by-step explanation:
Total carbohydrate ate by Osvoldo = 220 g
carbohydrate from grains = 55 g
Percentage of carbohydrate of grain is
\begin{gathered}=\dfrac{\text { carbohydrate taken from grains}}{\text {Total carbohydrate}} \times 100\\\\= \dfrac{55}{220} \times 100= 25 \%\end{gathered}
=
Total carbohydrate
carbohydrate taken from grains
×100
=
220
55
×100=25%
Goal of getting carbohydrate from grains = at least 30%
but he ate only 25% of carbohydrate
Hence, Osvoldo did not meet his goal as he ate less carbohydrate than his goal.
Juan read 300 pages in 5 days and Jose read 150 pages in 3 days are these reading rates equivalent
Answer:
No, they aren't equivalent.
Step-by-step explanation:
First divide 300 by 5 to figure out how many pages he read in each day.
That would be 60 pages each day.
Then, divide 150 by 3.
That would be 50.
Since 60 ≠ 50, the reading rates are not equivalent.
Hope I helped :)
Let n be equal to 156% of 70. Which of the following proportions is true?
Answer:
156/100=n/70
Step-by-step explanation:
1.56/70=109.2
156/100=1.56
109.2/70=1.56
as far as im concerned 1.56 and 1.56 is equal lol
The true property is (156/100) = (n/70).
What is the percentage?The percentage is a ratio that can be expressed as a fraction of 100.
Given that n is equal to 156% of 70
n=156% of 70
n=156% × 70
n= (156/100) × 70
(n/70) = (156/100)
Or, (156/100) = (n/70)
Hence, the true property is (156/100) = (n/70).
Learn more on percentages here:
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The complete question is:
Let n be equal to 156% of 70. Which of the following proportions is true?
A. (70/100) = (165/n)
B. (156/70) = (n/100)
C. (100/70) = (165/n)
D. (156/100) = (n/70)
What is x when f(x)=0?
Find the mode and the mean of the following set showing number of hours of operating life 25 flashlight batteries:20, 21, 19, 22 , 18 , 23 , 25 , 22 , 23 , 20 , 23 , 20 , 22 , 21 , 24 , 21, 22 , 23 , 19, 21, 22 , 22 , 24 , 26 , 22.
Answer:
mode: 22
mean: 21
Step-by-step explanation:
For mode, look for the number that occurs the most (22). I remember this because MODE kinda sounds like MOST. Remember that the mean is just another word for average. I remember this because I think its MEAN that they'd make another word for average, although the term average is way easier to remember. So, add all numbers (525) and divide them by 25.
525 divided by 25= 21
(it might be safe to double check my work)
The mean of the set showing number of hours of operating life 25 flashlight batteries is, 21.8
The mode of the set showing number of hours of operating life 25 flashlight batteries is, 22
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
The set showing number of hours of operating life 25 flashlight batteries is,
⇒ 20, 21, 19, 22 , 18 , 23 , 25 , 22 , 23 , 20 , 23 , 20 , 22 , 21 , 24 , 21, 22 , 23 , 19, 21, 22 , 22 , 24 , 26 , 22.
Now, We can arrange the numbers in ascending order as;
⇒ 18, 19, 19, 20, 20, 20, 21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 24, 24, 25, 26
Thus, The mean of the set is,
⇒ Mean = 18 + 19 + 19 + 20 + 20 + 20 + 21 + 21 + 21 + 21 + 22 + 22 + 22 + 22 + 22 + 22 + 22 + 23 + 23 + 23 + 23 + 24 + 24 + 25 + 26 / 25
⇒ Mean = 545 / 25
⇒ Mean = 21.8
And, The mode of the data set is the most often number in data set.
Hence, The mode of the set = 22
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Yolanda bought some books. She spent a total of $45 after a discount of $6 off of her total purchase. Each book cost $3. How many books did she buy?
Answer:
ignore sorry need brainly answers
Step-by-step explanation:
Answer:
Yolanda bought 17 books.
Step-by-step explanation:
$45 + $6 = $51
$51 ÷ $3 = 17 books
You're welcome!
help me answer this question in the picture :)))
Answer:
x = 15p
-75
Explanation:
remove brackets:
4px + 4 = 64
solving for x --> 4px = 64 - 4 then--> 4px = 60
then diving both sides by 4p --> x = 60\4p --> x = 15p
now solving for x when p is -5
we will substitute the -5 in the equation we got --> x= 15 (-5)
which will give us --> x = -75